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Further Mathematics

AI prompts for senior secondary learners.

📅 36-Week WAEC Study Guide for Further Mathematics →
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1,317 prompts matching "Why multiplying by the conjugate clears the surd"

Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.

Show All Working: Solving a quadratic by completing the square

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on solving a

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Final Revision: Checking a symmetric-function answer by solving the equation outright

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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Worked Example: Solving a quadratic inequality by sketching the parabola

Act as my SS3 Further Mathematics tutor. Take me through one full worked example on solvin

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Show All Working: Solving a cos x plus b sin x equals c by the R method

Act as my WAEC Further Mathematics examiner. I am in SS 3. Set me a question on solving a

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Spot My Mistake: The general form ax plus by plus c equals nought

Act as my SS3 Further Mathematics tutor. Work a question on the general form ax plus by pl

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Final Revision: The focus-directrix definition shared by all the conics

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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WAEC Prep: A couple, and why its moment is the same about every point

Act as my WAEC Further Mathematics coach. I am in SS 3. Set me an exam-standard question o

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Final Revision: The greatest extension reached by a falling particle on an elastic string

Act as my WAEC Further Mathematics coach in the last week before the paper. I am in SS 3.

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Teach me integration by recognising the reverse of differentiation

I am in SS 3. Teach me how to think of integration as the reverse of differentiation, usin

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Structured question: rationalise and simplify a surd expression

I am in SS 3. Give me a structured question where I rationalise the denominator of a surd

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Explain-back: complex conjugates

I am in SS 3. Let me explain what a complex conjugate is and why we multiply by it when di

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Solving an equation formed by equating two algebraic fractions

I am in SS 3. I'm going to explain solving an equation where two algebraic fractions are s

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Quiz me on choosing the correct method for a quadratic

I am in SS 3. Quiz me by giving me five different quadratic equations and asking me, befor

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Learn: Solving two simultaneous equations by Cramer's rule

You are my personal SS3 Further Mathematics tutor. Teach me solving two simultaneous equat

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Learn: A space diagram and a force diagram drawn side by side

You are my personal SS3 Further Mathematics tutor. Teach me a space diagram and a force di

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Learn: Integrating a polynomial term by term

You are my personal SS3 Further Mathematics tutor. Teach me integrating a polynomial term

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Learn: Finding displacement by integrating velocity

You are my personal SS3 Further Mathematics tutor. Teach me finding displacement by integr

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Find the inverse of a 2x2 matrix #1

Give me a 2x2 matrix like A=[[2,3],[1,4]] and ask me to find its inverse using the determi

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Find the inverse of a 2x2 matrix #2

I am in SS 3. Give me a 2x2 matrix like A=[[5,-2],[3,1]] and ask me to find its inverse us

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Find the inverse of a 2x2 matrix #3

I am in SS 3. Give me a 2x2 matrix like A=[[4,1],[2,3]] and ask me to find its inverse usi

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